4 problems

Let $v$ be an interaction potential with positive scattering length $a>0$, and suppose that the corresponding system has no $N$-body bound states for any $N$. Let … should hold whe…

The simplified approach concerns the ground-state energy, condensate fraction, and correlation function of a repulsive Bose gas, and is considered for repulsive potentials of posit…

Let $V$ be a positive integrable function on $\mathbb{R}^3$ with compact support, and suppose that its support satisfies Kac's regularity: the Lebesgue penetration time of the supp…

Let $e(\rho,m)$ denote the ground-state energy per particle of a three-dimensional dilute Bose gas of particles with mass $m$ and density $\rho$, interacting through a potential…